Data Assimilation in Reduced Modeling

@article{Binev2017DataAI,
  title={Data Assimilation in Reduced Modeling},
  author={P. Binev and A. Cohen and W. Dahmen and R. DeVore and G. Petrova and P. Wojtaszczyk},
  journal={SIAM/ASA J. Uncertain. Quantification},
  year={2017},
  volume={5},
  pages={1-29}
}
  • P. Binev, A. Cohen, +3 authors P. Wojtaszczyk
  • Published 2017
  • Mathematics, Computer Science
  • SIAM/ASA J. Uncertain. Quantification
  • This paper considers the problem of optimal recovery of an element u of a Hilbert spaceH from measurements of the form ‘j(u), j = 1;:::;m, where the ‘j are known linear functionals on H. Problems of this type are well studied [18] and usually are carried out under an assumption that u belongs to a prescribed model class, typically a known compact subset ofH. Motivated by reduced modeling for solving parametric partial dierential equations, this paper considers another setting where the… CONTINUE READING
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